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n j=1 x i+j−1 , i ≥ 1, is called the Fibonacci orbit of G with respect to the generating set A, denoted F A (G). If F A (G) is periodic we call the length of the period of the sequence the Fibonacci length of G with respect to A, written LEN A (G). In this paper we examine the Fibonacci lengths of D i 2m , i > 1 where D 2m is the dihedral group of order 2m.

For a finitely generated group G = A where A = {a 1 , a 2 ,. .. , a n } the sequence x i = a i+1 , 0 ≤ i ≤ n − 1, x i+n = n j=1 x i+j−1 , i ≥ 0, is called the Fibonacci orbit of G with respect to the generating set A, denoted F A (G). If F A (G) is periodic we call the length of the period of the sequence the Fibonacci length of G with respect to A, written… (More)

- Hossein Doostie, P. P. Campbell
- Int. J. Math. Mathematical Sciences
- 2006

For a finite group G = =X (X = G), the least positive integer ML X (G) is called the maximum length of G with respect to the generating set X if every element of G may be represented as a product of at most ML X (G) elements of X. The well-known commutator length of a group G, denoted by c(G), satisfies the inequality c(G) ≤ ML(G), where G is the derived… (More)

- N. Shirmohammadi, H. Rasouli, H. Doostie
- 2016

For a semigroup S we define some operations on the set of soft S-acts. Also by defining the soft congruence we introduce the notion of bi-act. The purpose of this paper is to investigate certain results on the soft bi-acts. Some analoges of algebraic properties like the isomorphisms theorems will be appeared as well.

- H. Doostie
- 2014

For a given integer n = p α 1 1 p α 2 α k k , (k ≥ 2), we give here a class of finitely presented finite monoids of order n. Indeed the monoids M on(π), where As a result of this study we are able to classify a wide family of the k-generated p-monoids (finite monoids of order a power of a prime p). An interesting difference between the center of finite… (More)

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